Factor a polynomial with four terms by grouping a trinomial.
E) prime

Question

Factor a polynomial with four terms by grouping a trinomial. 
E) prime

Quizplus · Accepted Answer

To factor a polynomial with four terms by grouping a trinomial, we need to group the first two terms and the last two terms and factor out the greatest common factor from each group. Then, we can factor out the common binomial.

Here, we have: 
$6x^2-5x-6+5$

Group the first two terms and the last two terms: 
$(6x^2-5x)-(6-5)$

Factor out the greatest common factor from each group: 
$x(6x-5)-1(6-5)$

Factor out the common binomial: 
$(6x-5)(x-1)$

Therefore, the answer is C.

Factor a Polynomial with Four Terms by Grouping a Trinomial